aspg-24-1391-1791482609 20261008180329 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2022 4 2 Prem Kumar Singh Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India Recently, the data with Turiyam set is introduced for precise representation of human cognition. It gives a way to represent the conscious, unconscious, indeterminate and superconscious state of quantum cognition. In this way, the Turiyam set given a way to represent the human cognition in a democratic system like India where people support a party, reject the party, absent and support NOTA. In similar way conflict among two people can be represented via four way like there is conflict, no conflict, partially conflict or uncertainty about conflict, and last nothing unknown to each other. The precise representation of these types of data which changes at every given phase of time. To deal with these types of human cognition and its quantum state Quaternion set is introduced in this paper. 2022 57 64 1391 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.040205 https://www.americaspg.com/journal/24/article/1391 https://www.americaspg.com/storage/71669633993.pdf